Analysis of xx-ph-00001682-H108-base.sdk
Contents
Original Sudoku
level: deep
position: ..3.....5.2.6.....1...3.7...4.8.6.......49.8.........2..7.....1.8.9...2.5.....3.. initial
Autosolve
position: ..3...2.5.2.6.....1...3.7...4.8.6.......49.8.........2..7.....1.8.9...2.5.....3.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000009
List of important HDP chains detected for A8,F8: 3..:
* DIS # A8: 3 # B5: 6,7 => CTR => B5: 1,3,5 * DIS # A8: 3 + B5: 1,3,5 # B9: 6,9 => CTR => B9: 1 * DIS # A8: 3 + B5: 1,3,5 + B9: 1 # B1: 6,9 => CTR => B1: 7 * DIS # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # I9: 6,7 => CTR => I9: 4,8,9 * DIS # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 # I8: 4 => CTR => I8: 6,7 * DIS # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # H4: 3,9 => CTR => H4: 1,5,7 * PRF # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 + H4: 1,5,7 # G7: 6,9 => SOL * STA # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 + H4: 1,5,7 + G7: 6,9 * CNT 7 HDP CHAINS / 73 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is deep. Here is some information that may be helpful on how to proceed.
Positions
| ..3.....5.2.6.....1...3.7...4.8.6.......49.8.........2..7.....1.8.9...2.5.....3.. | initial |
| ..3...2.5.2.6.....1...3.7...4.8.6.......49.8.........2..7.....1.8.9...2.5.....3.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D3,F3: 2.. / D3 = 2 => 0 pairs (_) / F3 = 2 => 1 pairs (_) E4,D5: 2.. / E4 = 2 => 0 pairs (_) / D5 = 2 => 1 pairs (_) A7,C9: 2.. / A7 = 2 => 0 pairs (_) / C9 = 2 => 0 pairs (_) H2,I2: 3.. / H2 = 3 => 0 pairs (_) / I2 = 3 => 2 pairs (_) A8,F8: 3.. / A8 = 3 => 2 pairs (_) / F8 = 3 => 1 pairs (_) G6,H6: 4.. / G6 = 4 => 1 pairs (_) / H6 = 4 => 1 pairs (_) A6,C6: 8.. / A6 = 8 => 0 pairs (_) / C6 = 8 => 0 pairs (_) G7,I9: 8.. / G7 = 8 => 0 pairs (_) / I9 = 8 => 0 pairs (_) G2,G7: 8.. / G2 = 8 => 0 pairs (_) / G7 = 8 => 0 pairs (_) E1,E2: 9.. / E1 = 9 => 1 pairs (_) / E2 = 9 => 0 pairs (_) * DURATION: 0:00:06.258609 START: 13:22:32.966179 END: 13:22:39.224788 2020-11-30 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) A8,F8: 3.. / A8 = 3 ==> 0 pairs (*) / F8 = 3 => 0 pairs (X) * DURATION: 0:00:44.388536 START: 13:22:39.225542 END: 13:23:23.614078 2020-11-30 * REASONING A8,F8: 3.. * DIS # A8: 3 # B5: 6,7 => CTR => B5: 1,3,5 * DIS # A8: 3 + B5: 1,3,5 # B9: 6,9 => CTR => B9: 1 * DIS # A8: 3 + B5: 1,3,5 + B9: 1 # B1: 6,9 => CTR => B1: 7 * DIS # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # I9: 6,7 => CTR => I9: 4,8,9 * DIS # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 # I8: 4 => CTR => I8: 6,7 * DIS # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # H4: 3,9 => CTR => H4: 1,5,7 * PRF # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 + H4: 1,5,7 # G7: 6,9 => SOL * STA # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 + H4: 1,5,7 + G7: 6,9 * CNT 7 HDP CHAINS / 73 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
1682;H108;col;21;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for A8,F8: 3..:
* INC # A8: 3 # H6: 6,7 => UNS * INC # A8: 3 # H6: 1,4,5,9 => UNS * INC # A8: 3 # A5: 6,7 => UNS * DIS # A8: 3 # B5: 6,7 => CTR => B5: 1,3,5 * INC # A8: 3 + B5: 1,3,5 # A5: 6,7 => UNS * INC # A8: 3 + B5: 1,3,5 # A5: 2 => UNS * INC # A8: 3 + B5: 1,3,5 # I8: 6,7 => UNS * INC # A8: 3 + B5: 1,3,5 # I9: 6,7 => UNS * INC # A8: 3 + B5: 1,3,5 # H6: 6,7 => UNS * INC # A8: 3 + B5: 1,3,5 # H6: 1,4,5,9 => UNS * INC # A8: 3 + B5: 1,3,5 # A5: 6,7 => UNS * INC # A8: 3 + B5: 1,3,5 # A5: 2 => UNS * INC # A8: 3 + B5: 1,3,5 # I8: 6,7 => UNS * INC # A8: 3 + B5: 1,3,5 # I9: 6,7 => UNS * INC # A8: 3 + B5: 1,3,5 # A7: 6,9 => UNS * DIS # A8: 3 + B5: 1,3,5 # B9: 6,9 => CTR => B9: 1 * INC # A8: 3 + B5: 1,3,5 + B9: 1 # C9: 6,9 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 # G7: 6,9 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 # H7: 6,9 => UNS * DIS # A8: 3 + B5: 1,3,5 + B9: 1 # B1: 6,9 => CTR => B1: 7 * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # B3: 6,9 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # B6: 6,9 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # A7: 6,9 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # C9: 6,9 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # G7: 6,9 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # H7: 6,9 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # B3: 6,9 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # B6: 6,9 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # F1: 1,4 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # F2: 1,4 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # H1: 1,4 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # H1: 6,9 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # B6: 3,5 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # B6: 6,9 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # D5: 3,5 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # D5: 1,2,7 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # H6: 6,7 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # H6: 1,4,5,9 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # A5: 6,7 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # A5: 2 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # I8: 6,7 => UNS * DIS # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 # I9: 6,7 => CTR => I9: 4,8,9 * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 # I8: 6,7 => UNS * DIS # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 # I8: 4 => CTR => I8: 6,7 * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # A5: 6,7 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # A5: 2 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # A7: 6,9 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # C9: 6,9 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # G7: 6,9 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # G7: 4,5,8 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # B3: 6,9 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # B6: 6,9 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # A7: 4,6 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # C9: 4,6 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # G8: 4,6 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # G8: 5 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # C3: 4,6 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # C3: 5,8,9 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # F1: 1,4 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # F2: 1,4 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # H1: 1,4 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # H1: 6,9 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # B6: 3,5 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # B6: 6,9 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # D5: 3,5 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # D5: 1,2,7 => UNS * DIS # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 # H4: 3,9 => CTR => H4: 1,5,7 * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 + H4: 1,5,7 # A5: 6,7 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 + H4: 1,5,7 # A5: 2 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 + H4: 1,5,7 # A7: 6,9 => UNS * INC # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 + H4: 1,5,7 # C9: 6,9 => UNS * PRF # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 + H4: 1,5,7 # G7: 6,9 => SOL * STA # A8: 3 + B5: 1,3,5 + B9: 1 + B1: 7 + I9: 4,8,9 + I8: 6,7 + H4: 1,5,7 + G7: 6,9 * CNT 72 HDP CHAINS / 73 HYP OPENED